What is the Greatest Common Factor of 40196 and 40209?

Greatest common factor (GCF) of 40196 and 40209 is 13.

GCF(40196,40209) = 13

We will now calculate the prime factors of 40196 and 40209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40196 and 40209.

How to find the GCF of 40196 and 40209?

We will first find the prime factorization of 40196 and 40209. After we will calculate the factors of 40196 and 40209 and find the biggest common factor number .

Step-1: Prime Factorization of 40196

Prime factors of 40196 are 2, 13, 773. Prime factorization of 40196 in exponential form is:

40196 = 2² × 13¹ × 773¹

Step-2: Prime Factorization of 40209

Prime factors of 40209 are 3, 13, 1031. Prime factorization of 40209 in exponential form is:

40209 = 3¹ × 13¹ × 1031¹

Step-3: Factors of 40196

List of positive integer factors of 40196 that divides 40196 without a remainder.

1, 2, 4, 13, 26, 52, 773, 1546, 3092, 10049, 20098

Step-4: Factors of 40209

List of positive integer factors of 40209 that divides 40196 without a remainder.

1, 3, 13, 39, 1031, 3093, 13403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40196 and 40209. The biggest common factor number is the GCF number.
So the greatest common factor 40196 and 40209 is 13.

Also check out the Least Common Multiple of 40196 and 40209